Geometry For Enjoyment And Challenge
Geometry For Enjoyment And Challenge
91st Edition
ISBN: 9780866099653
Author: Richard Rhoad, George Milauskas, Robert Whipple
Publisher: McDougal Littell
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Chapter 11.3, Problem 12PSB
To determine

To Calculate: Area of the trapezoid.

Expert Solution & Answer
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Answer to Problem 12PSB

The area of the trapezoid is 50 square units.

Explanation of Solution

Given information:

The perimeter of a trapezoid is 35

The non-parallel sides are 7 and 8

Height of the trapezoid is 5

  Geometry For Enjoyment And Challenge, Chapter 11.3, Problem 12PSB

Formula used:

Here, we are using the formula

Area of trapezoid = 12(a+b)h

(Where, “ a ” is upper base, “ b ” is lower base and “ h ” is height)

Calculation:

Here, we are using Pythagoras theorem

In ΔADF

  (hypotenuse)2=(perpendicular)2+(base)2

  (AD)2=(AF)2+(DF)2

  (7)2=(5)2+(DF)2

  (DF)2=4925

  DF=26

And, In ΔBEC

  (hypotenuse)2=(perpendicular)2+(base)2

  (BC)2=(BE)2+(EC)2

  (8)2=(5)2+(EC)2

  (EC)2=6425

  EC=3a

Here, AB+FE+26+3a+15=35

  AB=20263a2

So that, DC=20263a+46+392

  DC=20+26+3a2

Now, Area of trapezoid = 12(a+b)h

(Where, “ a ” is upper base, “ b ” is lower base and “ h ” is height)

12(20+26+3a263a+202)×5

12(40)×5

50

Conclusion: Hence,the area of the trapezoid is 50 square units.

Chapter 11 Solutions

Geometry For Enjoyment And Challenge

Ch. 11.1 - Prob. 11PSBCh. 11.1 - Prob. 12PSBCh. 11.1 - Prob. 13PSBCh. 11.1 - Prob. 14PSBCh. 11.1 - Prob. 15PSBCh. 11.1 - Prob. 16PSCCh. 11.1 - Prob. 17PSCCh. 11.2 - Prob. 1PSACh. 11.2 - Prob. 2PSACh. 11.2 - Prob. 3PSACh. 11.2 - Prob. 4PSACh. 11.2 - Prob. 5PSACh. 11.2 - Prob. 6PSACh. 11.2 - Prob. 7PSACh. 11.2 - Prob. 8PSACh. 11.2 - Prob. 9PSACh. 11.2 - Prob. 10PSACh. 11.2 - Prob. 11PSACh. 11.2 - Prob. 12PSACh. 11.2 - Prob. 13PSBCh. 11.2 - Prob. 14PSBCh. 11.2 - Prob. 15PSBCh. 11.2 - Prob. 16PSBCh. 11.2 - Prob. 17PSBCh. 11.2 - Prob. 18PSBCh. 11.2 - Prob. 19PSBCh. 11.2 - Prob. 20PSBCh. 11.2 - Prob. 21PSBCh. 11.2 - Prob. 22PSBCh. 11.2 - Prob. 23PSBCh. 11.2 - Prob. 24PSBCh. 11.2 - Prob. 25PSBCh. 11.2 - Prob. 26PSCCh. 11.2 - Prob. 27PSCCh. 11.2 - Prob. 28PSCCh. 11.2 - Prob. 29PSCCh. 11.2 - Prob. 30PSCCh. 11.2 - Prob. 31PSCCh. 11.2 - Prob. 32PSCCh. 11.2 - Prob. 33PSCCh. 11.3 - Prob. 1PSACh. 11.3 - Prob. 2PSACh. 11.3 - Prob. 3PSACh. 11.3 - Prob. 4PSACh. 11.3 - Prob. 5PSACh. 11.3 - Prob. 6PSACh. 11.3 - Prob. 7PSBCh. 11.3 - Prob. 8PSBCh. 11.3 - Prob. 9PSBCh. 11.3 - Prob. 10PSBCh. 11.3 - Prob. 11PSBCh. 11.3 - Prob. 12PSBCh. 11.3 - Prob. 13PSBCh. 11.3 - Prob. 14PSCCh. 11.3 - Prob. 15PSCCh. 11.3 - Prob. 16PSCCh. 11.3 - Prob. 17PSCCh. 11.3 - Prob. 18PSCCh. 11.3 - Prob. 19PSCCh. 11.3 - Prob. 20PSCCh. 11.4 - Prob. 1PSACh. 11.4 - Prob. 2PSACh. 11.4 - Prob. 3PSACh. 11.4 - Prob. 4PSBCh. 11.4 - Prob. 5PSBCh. 11.4 - Prob. 6PSBCh. 11.4 - Prob. 7PSBCh. 11.4 - Prob. 8PSBCh. 11.4 - Prob. 9PSBCh. 11.4 - Prob. 10PSCCh. 11.4 - Prob. 11PSCCh. 11.4 - Prob. 12PSCCh. 11.4 - Prob. 13PSCCh. 11.5 - Prob. 1PSACh. 11.5 - Prob. 2PSACh. 11.5 - Prob. 3PSACh. 11.5 - Prob. 4PSACh. 11.5 - Prob. 5PSACh. 11.5 - Prob. 6PSACh. 11.5 - Prob. 7PSACh. 11.5 - Prob. 8PSACh. 11.5 - Prob. 9PSACh. 11.5 - Prob. 10PSACh. 11.5 - Prob. 11PSACh. 11.5 - Prob. 12PSBCh. 11.5 - Prob. 13PSBCh. 11.5 - Prob. 14PSBCh. 11.5 - Prob. 15PSBCh. 11.5 - Prob. 16PSBCh. 11.5 - Prob. 17PSBCh. 11.5 - Prob. 18PSBCh. 11.5 - Prob. 19PSCCh. 11.5 - Prob. 20PSCCh. 11.5 - Prob. 21PSCCh. 11.5 - Prob. 22PSCCh. 11.5 - Prob. 23PSCCh. 11.5 - Prob. 24PSCCh. 11.5 - Prob. 25PSCCh. 11.5 - Prob. 26PSCCh. 11.6 - Prob. 1PSACh. 11.6 - Prob. 2PSACh. 11.6 - Prob. 3PSACh. 11.6 - Prob. 4PSACh. 11.6 - Prob. 5PSACh. 11.6 - Prob. 6PSACh. 11.6 - Prob. 7PSACh. 11.6 - Prob. 8PSBCh. 11.6 - Prob. 9PSBCh. 11.6 - Prob. 10PSBCh. 11.6 - Prob. 11PSBCh. 11.6 - Prob. 12PSBCh. 11.6 - Prob. 13PSBCh. 11.6 - Prob. 14PSBCh. 11.6 - Prob. 15PSBCh. 11.6 - Prob. 16PSBCh. 11.6 - Prob. 17PSBCh. 11.6 - Prob. 18PSCCh. 11.6 - Prob. 19PSCCh. 11.6 - Prob. 20PSCCh. 11.6 - Prob. 21PSCCh. 11.6 - Prob. 22PSCCh. 11.6 - Prob. 23PSCCh. 11.7 - Prob. 1PSACh. 11.7 - Prob. 2PSACh. 11.7 - Prob. 3PSACh. 11.7 - Prob. 4PSACh. 11.7 - Prob. 5PSACh. 11.7 - Prob. 6PSACh. 11.7 - Prob. 7PSACh. 11.7 - Prob. 8PSACh. 11.7 - Prob. 9PSBCh. 11.7 - Prob. 10PSBCh. 11.7 - Prob. 11PSBCh. 11.7 - Prob. 12PSBCh. 11.7 - Prob. 13PSBCh. 11.7 - Prob. 14PSBCh. 11.7 - Prob. 15PSBCh. 11.7 - Prob. 16PSBCh. 11.7 - Prob. 17PSBCh. 11.7 - Prob. 18PSCCh. 11.7 - Prob. 19PSCCh. 11.7 - Prob. 20PSCCh. 11.7 - Prob. 21PSCCh. 11.7 - Prob. 22PSCCh. 11.8 - Prob. 1PSACh. 11.8 - Prob. 2PSACh. 11.8 - Prob. 3PSACh. 11.8 - Prob. 4PSBCh. 11.8 - Prob. 5PSBCh. 11.8 - Prob. 6PSBCh. 11.8 - Prob. 7PSBCh. 11.8 - Prob. 8PSBCh. 11.8 - Prob. 9PSBCh. 11.8 - Prob. 10PSBCh. 11.8 - Prob. 11PSCCh. 11.8 - Prob. 12PSCCh. 11.8 - Prob. 13PSCCh. 11 - Prob. 1RPCh. 11 - Prob. 2RPCh. 11 - Prob. 3RPCh. 11 - Prob. 4RPCh. 11 - Prob. 5RPCh. 11 - Prob. 6RPCh. 11 - Prob. 7RPCh. 11 - Prob. 8RPCh. 11 - Prob. 9RPCh. 11 - Prob. 10RPCh. 11 - Prob. 11RPCh. 11 - Prob. 12RPCh. 11 - Prob. 13RPCh. 11 - Prob. 14RPCh. 11 - Prob. 15RPCh. 11 - Prob. 16RPCh. 11 - Prob. 17RPCh. 11 - Prob. 18RPCh. 11 - Prob. 19RPCh. 11 - Prob. 20RPCh. 11 - Prob. 21RPCh. 11 - Prob. 22RPCh. 11 - Prob. 23RPCh. 11 - Prob. 24RPCh. 11 - Prob. 25RPCh. 11 - Prob. 26RPCh. 11 - Prob. 27RPCh. 11 - Prob. 28RPCh. 11 - Prob. 29RPCh. 11 - Prob. 30RPCh. 11 - Prob. 31RPCh. 11 - Prob. 32RPCh. 11 - Prob. 33RPCh. 11 - Prob. 34RPCh. 11 - Prob. 35RPCh. 11 - Prob. 36RPCh. 11 - Prob. 37RPCh. 11 - Prob. 38RPCh. 11 - Prob. 39RPCh. 11 - Prob. 40RPCh. 11 - Prob. 41RPCh. 11 - Prob. 42RPCh. 11 - Prob. 43RPCh. 11 - Prob. 44RPCh. 11 - Prob. 45RP
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